Javé
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Determinants : Proof det(AB)=0 where Amxn and Bnxm with m>n
Javé replied to Javé's topic in Linear Algebra and Group Theory
Let A be a m×n matrix and B be a n×m matrix. If n<m then AB is not invertible. Can someone proof this? Could anybody help me? -
Consider the Vector Space of Polynomial with degree <= 5. And the transformation to its second derivatives. Shows the transformation and its matrix em relate to the base of this space. Could anybody help me? Thanks!
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Can someone help me? I'm trying to proof this: Proof det(AB)=0 where Amxn and Bnxm with m>n I created a generic matrix A and B, then I use Laplace transforms to conclude. I'd like to know if there is another way to proof that. Thanks!